The graph shows a proportional relationship between x and y.Find the constant of proportionality (r) and write an equation to re
present the relationship.
2 answers:
Answer:
r=3
Step-by-step explanation:
We are given that a graph.
The graph shows a proportional relationship between x and y.
From given graph we can see that when x increases then y is also increases.
Therefore,
Where r=proportionality constant
x=5 and y=15
Substitute the values then we get
Substitute the value of r
Then, the equation to represent the relationship is given by
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It looks like the differential equation is
Factorize the right side by grouping.
Now we can separate variables as
Integrate both sides.
You could go on to solve for explicitly as a function of
, but that involves a special function called the "product logarithm" or "Lambert W" function, which is probably beyond your scope.
Answer:
y=2 -7x-4
three linear equations
c=-4 ;4a+b=1 ; 9=a-b
Step-by-step explanation:
Simply assume a standard parabola equation y=a +bx +c
(here a, b, c are three independent variables)
Three coordinates as shown in graph are (0,4), (4,0) ,(-1,5)
Now put these points in the equation of parabola and get three linear equations.
[1] c=-4
[2] 4a+b=1
[3] 9=a-b
Now substitute value of a from equation 2 into 3 in terms of b
a=
9=-b
b=-7
a=2
y=2 -7x-4
